Pith Number

pith:FO4Q6ULR

pith:2016:FO4Q6ULRA57YURK7IPN3XBCAOM

not attested not anchored not stored refs pending

On symmetries of generalized Robertson-Walker Space-times and applications

H. K. El-Sayied, N. Syied, S. Shenawy

arxiv:1606.08018 v1 · 2016-06-26 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FO4Q6ULRA57YURK7IPN3XBCAOM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:41:51.385881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb90f5171077f8a455f43dbbb8440733d409bd683e73e740eb8f8507139aab8

Aliases

arxiv: 1606.08018 · arxiv_version: 1606.08018v1 · doi: 10.48550/arxiv.1606.08018 · pith_short_12: FO4Q6ULRA57Y · pith_short_16: FO4Q6ULRA57YURK7 · pith_short_8: FO4Q6ULR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FO4Q6ULRA57YURK7IPN3XBCAOM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2bb90f5171077f8a455f43dbbb8440733d409bd683e73e740eb8f8507139aab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8221fdc1b3b9868666cb48749e4b0de89eaf5884d3d8217bfcca8e5ed0e775bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-26T09:49:15Z",
    "title_canon_sha256": "4f0a99db4d1531913a0221b9d00c41a93309770828122e6bc96bfd0effccb661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08018",
    "kind": "arxiv",
    "version": 1
  }
}